CORDIS Project
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This research investigates the zero sets of random functions, exploring their implications in various fields such as quantum chaos and complex analysis. It aims to understand the asymptotic topology and statistical properties of these zero sets, contributing to the understanding of random point processes.
The proposed research is focused on zero sets of random functions.
This is a rapidly growing area that lies at the crossroads of analysis, probability theory and mathematical physics.
Various instances of zero sets of random functions have been used to model different phenomena in quantum chaos, complex analysis, real algebraic geometry, and theory of random point processes.The proposal consists of three parts.
The first one deals with asymptotic topology of zero sets of smooth random functions…
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